{"title":"Exponential stability of a diffusive Nicholson’s blowflies equation accompanying multiple time-varying delays","authors":"Chuangxia Huang , Bingwen Liu","doi":"10.1016/j.aml.2024.109451","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we explore a modified diffusive Nicholson’s blowflies equation accompanying multiple pairs of time-varying delays which include distinct diapause and maturation effects. With the help of some differential inequality analyses, we obtain a criterion to assure the stability and exponential attraction of the addressed reaction–diffusion equation accompanying Neumann boundary conditions, which fully refines and generalizes some existing ones.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"163 ","pages":"Article 109451"},"PeriodicalIF":2.9000,"publicationDate":"2025-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics Letters","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0893965924004713","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we explore a modified diffusive Nicholson’s blowflies equation accompanying multiple pairs of time-varying delays which include distinct diapause and maturation effects. With the help of some differential inequality analyses, we obtain a criterion to assure the stability and exponential attraction of the addressed reaction–diffusion equation accompanying Neumann boundary conditions, which fully refines and generalizes some existing ones.
期刊介绍：
The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.
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